2,093
Views
33
CrossRef citations to date
0
Altmetric
Original Articles

The stability analysis of an SVEIR model with continuous age-structure in the exposed and infectious classes

, &
Pages 73-101 | Received 14 Oct 2014, Accepted 08 Jan 2015, Published online: 17 Feb 2015

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

Jinliang Wang, Di Wu & Hongquan Sun. (2018) Analysis of an SVIC model with age-dependent infection and asymptomatic carriers. Applicable Analysis 97:9, pages 1467-1495.
Read now
Jinliang Wang, Jiying Lang & Yuming Chen. (2017) Global threshold dynamics of an SVIR model with age-dependent infection and relapse. Journal of Biological Dynamics 11:sup2, pages 427-454.
Read now
Tahir Khan, Gul Zaman & M. Ikhlaq Chohan. (2017) The transmission dynamic and optimal control of acute and chronic hepatitis B. Journal of Biological Dynamics 11:1, pages 172-189.
Read now

Articles from other publishers (30)

Timothy Ginn & Lynn Schreyer. (2023) Compartment Models with Memory. SIAM Review 65:3, pages 774-805.
Crossref
Rahat Zarin, Amir Khan, Abdullahi Yusuf, Sayed Abdel‐Khalek & Mustafa Inc. (2021) Analysis of fractional COVID‐19 epidemic model under Caputo operator. Mathematical Methods in the Applied Sciences 46:7, pages 7944-7964.
Crossref
Dandan Sun, Zhidong Teng, Kai Wang & Tailei Zhang. (2023) Stability and Hopf bifurcation in delayed age-structured SVIR epidemic model with vaccination and incubation. Chaos, Solitons & Fractals 168, pages 113206.
Crossref
Shaoli Wang, Tengfei Wang & Yuming Chen. (2022) Bifurcations and Bistability of an Age-Structured Viral Infection Model with a Nonmonotonic Immune Response. International Journal of Bifurcation and Chaos 32:10.
Crossref
Sunil Kumar, R. P. Chauhan, Ayman A. Aly, Shaher Momani & Samir Hadid. (2022) A study on fractional HBV model through singular and non-singular derivatives. The European Physical Journal Special Topics 231:10, pages 1885-1904.
Crossref
Xiao-mei Feng, Li-li Liu & Feng-qin Zhang. (2022) Dynamical Behavior of SEIR-SVS Epidemic Models with Nonlinear Incidence and Vaccination. Acta Mathematicae Applicatae Sinica, English Series 38:2, pages 282-303.
Crossref
Zizi Wang, Qian Zhang & Yong Luo. (2022) A general non-local delay model on oncolytic virus therapy. Applied Mathematical Modelling 102, pages 423-434.
Crossref
Shanjing Ren & Lingling Li. (2022) Global stability mathematical analysis for virus transmission model with latent age structure. Mathematical Biosciences and Engineering 19:4, pages 3337-3349.
Crossref
Rahat Zarin, Amir Khan, Aurangzeb, Ali Akgül, Esra Karatas Akgül & Usa Wannasingha Humphries. (2022) Fractional modeling of COVID-19 pandemic model with real data from Pakistan under the ABC operator. AIMS Mathematics 7:9, pages 15939-15964.
Crossref
Shihua Zhang & Rui Xu. (2018) Global Stability of an SIS Epidemic Model with Age of Vaccination. Differential Equations and Dynamical Systems 30:1, pages 1-22.
Crossref
Oludoun Olajumoke, Adebimpe Olukayode, Ndako James, Abiodun Oluwakemi, Gbadamosi Babatunde & Aladeitan Benedicta. 2022. Proceedings of Sixth International Congress on Information and Communication Technology. Proceedings of Sixth International Congress on Information and Communication Technology 531 544 .
Amir Khan, Rahat Zarin, Usa Wannasingha Humphries, Ali Akgül, Anwar Saeed & Taza Gul. (2021) Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function. Advances in Difference Equations 2021:1.
Crossref
Dandan Sun, Yingke Li, Zhidong Teng, Tailei Zhang & Jingjing Lu. (2021) Dynamical properties in an SVEIR epidemic model with age‐dependent vaccination, latency, infection, and relapse. Mathematical Methods in the Applied Sciences 44:17, pages 12810-12834.
Crossref
Sowwanee Jitsinchayakul, Rahat Zarin, Amir Khan, Abdullahi Yusuf, Gul Zaman, Usa Wannasingha Humphries & Tukur A. Sulaiman. (2021) Fractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate. Open Physics 19:1, pages 693-709.
Crossref
Xiao-Ping Li, Nadia Gul, Muhammad Altaf Khan, Rubi Bilal, Aatif Ali, Mohammad Y. Alshahrani, Taseer Muhammad & Saeed Islam. (2021) A new Hepatitis B model in light of asymptomatic carriers and vaccination study through Atangana–Baleanu derivative. Results in Physics 29, pages 104603.
Crossref
Nadia Gul, Rubi Bilal, Ebrahem A. Algehyne, Maryam G. Alshehri, Muhammad Altaf Khan, Yu-Ming Chu & Saeed Islam. (2021) The dynamics of fractional order Hepatitis B virus model with asymptomatic carriers. Alexandria Engineering Journal 60:4, pages 3945-3955.
Crossref
Jian-Feng Zhong, Nadia Gul, Rubi Bilal, Wei-Feng Xia, Muhammad Altaf Khan, Taseer Muhammad & Saeed Islam. (2021) A fractal-fractional order Atangana-Baleanu model for Hepatitis B virus with asymptomatic class. Physica Scripta 96:7, pages 074001.
Crossref
Amir Khan, Rahat Zarin, Ghulam Hussain, Auwalu Hamisu Usman, Usa Wannasingha Humphries & J.F. Gomez-Aguilar. (2021) Modeling and sensitivity analysis of HBV epidemic model with convex incidence rate. Results in Physics 22, pages 103836.
Crossref
Amir Khan, Rahat Zarin, Ghulam Hussain, Noor Atinah Ahmad, Mohd Hafiz Mohd & Abdullahi Yusuf. (2021) Stability analysis and optimal control of covid-19 with convex incidence rate in Khyber Pakhtunkhawa (Pakistan). Results in Physics 20, pages 103703.
Crossref
Hussam Alrabaiah, Mohammad A. Safi, Mahmoud H. DarAssi, Bashir Al-Hdaibat, Saif Ullah, Muhammad Altaf Khan & Syed Azhar Ali Shah. (2020) Optimal control analysis of hepatitis B virus with treatment and vaccination. Results in Physics 19, pages 103599.
Crossref
MUHAMMAD ALTAF KHAN, SYED AZHAR ALI SHAH, SAIF ULLAH, KAZEEM OARE OKOSUN & MUHAMMAD FAROOQ. (2020) OPTIMAL CONTROL ANALYSIS OF THE EFFECT OF TREATMENT, ISOLATION AND VACCINATION ON HEPATITIS B VIRUS. Journal of Biological Systems 28:02, pages 351-376.
Crossref
Yuji Li, Rui Xu & Jiazhe Lin. (2018) The stability analysis of an epidemic model with saturating incidence and age-structure in the exposed and infectious classes. Advances in Difference Equations 2018:1.
Crossref
Lili Liu & Xiaomei Feng. (2018) A multigroup SEIR epidemic model with age-dependent latency and relapse. Mathematical Methods in the Applied Sciences 41:16, pages 6814-6833.
Crossref
Asaf Khan & Gul Zaman. (2018) Optimal control strategy of SEIR endemic model with continuous age-structure in the exposed and infectious classes. Optimal Control Applications and Methods 39:5, pages 1716-1727.
Crossref
Rodrigue Yves M’pika Massoukou, Suares Clovis Oukouomi Noutchie & Richard Guiem. (2018) Global Dynamics of an SVEIR Model with Age-Dependent Vaccination, Infection, and Latency. Abstract and Applied Analysis 2018, pages 1-21.
Crossref
Bin Cao, Hai-Feng Huo & Hong Xiang. (2017) Global stability of an age-structure epidemic model with imperfect vaccination and relapse. Physica A: Statistical Mechanics and its Applications 486, pages 638-655.
Crossref
ZHIPING WANG & RUI XU. (2017) GLOBAL DYNAMICS OF AN SVIR EPIDEMIOLOGICAL MODEL WITH INFECTION AGE AND NONLINEAR INCIDENCE. Journal of Biological Systems 25:03, pages 419-440.
Crossref
Shanjing Ren. (2017) Global stability in a tuberculosis model of imperfect treatment with age-dependent latency and relapse. Mathematical Biosciences and Engineering 14:5/6, pages 1337-1360.
Crossref
Lianwen Wang, Zhijun Liu & Xingan Zhang. (2016) Global dynamics for an age-structured epidemic model with media impact and incomplete vaccination. Nonlinear Analysis: Real World Applications 32, pages 136-158.
Crossref
Jinliang Wang, Ran Zhang & Toshikazu Kuniya. (2016) A note on dynamics of an age-of-infection cholera model. Mathematical Biosciences and Engineering 13:1, pages 227-247.
Crossref